Norman Window

[nycmathguy]

David Cohen

I need help with this one.

 

[MathLover1]

in terms of x and r, area is:

A=area of semi circle + area of rectangle

since one side of the rectangle is 2r and the other side is x, the area is

given:
x=P/(pi+4)
r=P/(pi+4)

.....common denominator

........simplify

factor out 1/2

 

[nycmathguy]

in terms of x and r, area is:

A=area of semi circle + area of rectangle

since one side of the rectangle is 2r and the other side is x, the area is

given:
x=P/(pi+4)
r=P/(pi+4)

.....common denominator

........simplify

factor out 1/2

Nicely-done. Nice to see the way you worked out the problem. I understand that x and r both equal P/(pi + 4) but there is nothing, as far as I can see, that indicates a substitute for x and r is needed somewhere in the process. David Cohen questions force students to go beyond the regular classroom problems.